Answer :
To simplify the fraction [tex]\(\frac{64}{80}\)[/tex], follow these steps:
1. Find the Greatest Common Divisor (GCD):
To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor. In this case, the numerator is 64, and the denominator is 80.
2. Calculate the GCD of 64 and 80:
The GCD of 64 and 80 is the highest number that divides both 64 and 80 without leaving a remainder. You can find the GCD by listing out the factors of each number or using the Euclidean algorithm. However, the GCD of 64 and 80 is 16.
3. Simplify the Fraction:
Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{64}{80} = \frac{64 \div 16}{80 \div 16} = \frac{4}{5}
\][/tex]
Thus, the simplified form of the fraction [tex]\(\frac{64}{80}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
1. Find the Greatest Common Divisor (GCD):
To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor. In this case, the numerator is 64, and the denominator is 80.
2. Calculate the GCD of 64 and 80:
The GCD of 64 and 80 is the highest number that divides both 64 and 80 without leaving a remainder. You can find the GCD by listing out the factors of each number or using the Euclidean algorithm. However, the GCD of 64 and 80 is 16.
3. Simplify the Fraction:
Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{64}{80} = \frac{64 \div 16}{80 \div 16} = \frac{4}{5}
\][/tex]
Thus, the simplified form of the fraction [tex]\(\frac{64}{80}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
